B3
Design Specs
dbot = 74 say 90
Beam Size = 200 x 300 fy = 230
Beam Span = 4 m fc' = 27
Liveload = 1.9 KN d = 210
Slab = 3 KN/m2 α = 96.78
Side of Slabs = 1 sides d' = 75
Wt of Beam = 1.44 KN/m
Wt of Partition = 7.32 KN/m
m = 0.500
l = 4
s = 2
Design
A Load Analysis;
W = 7.43 KN/m2
We = 6.81 Kn/m
Wu = 19.07 Kn/m
Mu = 38.15 Kn-m
B Verify if Singly or Doubly Reinforced
ρmax = 0.75((.85^2*fc'/fy)(600/(600+fy))
ρmax = 0.0460
ρb = As/bd ----------> ρmax = Asmax/bd
Asmax = 1931.33 mm2
Max moment Capacity
Mu = 64.61 Kn-m
Applied Load Ultimate Load
38.15 64.61
Required Strength < Design Strength
Therefore; Analyze as Singly Reinforced Beam
C As1 = Asmax = 1931.33 mm2
Mu2 = -26.46 Kn-m excess load
c = 113.86 mm2
Extra Steel (As2)
As2 = -946.87 mm2
Tension Bars
As = As1 + As2
As = 984.46 mm2
Compression Bar
fs' = 204.76
fs' > fy therefore; Steel will not yeild
use fs' = fy = 230 Mpa
As'fs' = As2fy
As' = -946.87 mm2
Number of Rebars
Tension Bars use 16 mm deform bar
no of bars = 4.90
say 5 pcs - 16 mm deform bar
Compression Barsuse 12 mm deform bar
no of bars = -8.37
say -9 pcs - 12 mm deform bar
Therfore: USE 200 X 300 R.C. BEAM
with 5 pcs 16 mm Tension deform bar
and -9 pcs 12 mm Compression deform bar